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The Lahore School of Economics, Centre for Mathematics and Statistical Sciences (CMSS) hosted annual conference on Recent Advances in Mathematical Methods, Models and Applications (RAMMMA16)”on April 9-10, 2016, at the Burki Campus. First day of the Conference started with welcome address by the Rector Lahore School of Economics, Dr. Shahid Amjad Chaudhry.

The "RAMMMA" tradition has these key features: the number of participants is usually bounded above by 70 with a mix of pure and applied interests; there are no parallel sessions so that all participants focus on each presentation and fully engage in each topic; and there is ample time for discussion for each presentation. The goal of this conference was to bring together mathematicians and users of mathematics to talk to each other, to transfer problems, ideas and methods from one community to the other, so as to enhance progress in understanding. The areas of interest of this conference are (but not limited to): Basic Axioms; Mathematical Modeling of Systems in Applied Sciences; Big Data; Queuing Theory; Financial Mathematics; Mathematical Biology.

In the second session Dr. Mujahid Abbas who has relocated to Department of Mathematics, University of Pretoria, South Africa. Dr. Mujahid Abbas gave a very interesting talk on “Variational Inequality Problem: An Extension of an Optimization Problem.” In this talk, variational inequality problem in a finite dimensional space was introduced. It was shown that both unconstrained and constrained optimization problems can be formulated as variational inequality problem. Some conditions for existence and uniqueness of solution to such problems were also discussed. The second speaker for this session was Dr. Amer Iqbal from School of Mathematical Sciences, Government College University, Lahore who spoke about “K3” - explaining how fascinating and unique it is in mathematics and its connection into physics. Dr. Yousaf Habib from Department of Mathematics, National University of Sciences and Technology (NUST), Islamabad presented his paper on “G-Symplectic General Linear Methods Conserving First Integrals of Hamiltonian Systems.”

Dr. Zarqa Bano from Department of Mathematics, Institute of Business Administration, Sukkur talked about, “Steady 2-D Flow of a Second Grade Fluid in a Symmetrical Diverging Channel of Varying Width”. Hafiza Rizwana Kausar from Business School, University of Central Punjab, Lahore presented his paper on “Gravitational Wave Polarization Modes in f(R) Theories.”

Dr. Asif Raza Khan from Department of Mathematics, Karachi University, Karachi gave a presentation on “Generalizations and Refinements of Niezgoda's Extension of Jensen-Mercer Inequality with application”. Dr. Qamar Din from Department of Mathematics, The University of Poonch, Rawalakot presented on, “Global Stability and Bifurcation Analysis of Beddington Mode.” Dr.Usman Afzal from Peking University, Beijing, China talked on “Numerical Optimization Techniques to Solve Nonlinear Control Theory Problems in Mathematical Biology.” Dr. Asfand Fahad from Government College University, Lahore, presented paper on “Generalized Steffensen's Inequality”. Dr. Umer Saeed fromNational University of Sciences and Technology, Islamabad, gave an interesting talk on “CAS quasilinearization technique for the solution of the nonlinear Lane–Emden type equations arising in astrophysics.”

Dr. Hammad Khalil from University of Malakand,Chakdara, “Application of orthogonal polynomials in solution of fractional order Poisson equations with integral type boundary condition”. The last speaker of the day was Dr. Nehad Ali Shah, from Government College University, Lahore. Dr. Nehad talked about, “Effects of the fractional order and magnetic field on the blood flow in cylindrical domains.”

The second day of the Conference resumed with an interesting talk on “Fractional Calculus and its applications in Fluid Mechanics” by Dr. Azhar Ali, from Government College University, Lahore. Dr. Tabassam Rashid from University of Management and Technology, Lahore, talked about “Hesitant 2-Tuple Linguistic Information in Multi-Criteria Group Decision Making.” Dr. Muhammad Rafiq from University of Central Punjab, Lahore presented “Numerical Modeling of Internal Transmission Dynamics of Dengue Virus.” In this paper, a dynamical model for the transmission dynamics of Dengue virus in the body was analyzed numerically. Dr. Muhammad Shahzad from Hazara University, Mansehra gave a very interesting presentation on “Modern Model Reduction Techniques in a Complex Chemical Reaction.”

The second session of the second day started with the talk on “K-total Edge Product Cordial Labeling” by Dr. Muhammad Irfan from Government College University, Lahore. Dr. Imran Talib from Virtual University, Lahore, presented paper on “Existence of Solution for a Second Order Nonlinear Coupled System with Nonlinear Coupled Boundary Conditions.” Dr. Sidra Ahmed from Institute of Business Administration, Sukkar, gave an interesting presentation on “Modified Conservation Element Solution Element Method for Thin Film Driven by Surfactant.”

Mr. Muhammad Asghar Ali (a Ph.D scholar), from University of Lahore presented paper on “Numerical Modeling for the transmission dynamics of dengue disease in pregnant and non-pregnant patients.” Dr. Muhammad Awais Umar from Government College University, Lahore presented on “S3- Antimagic Total Labeling of Sun graph.” Mr. Muhammad Umair Shahzad (a Ph.D scholar) from COMSATS Institute of Information Technology, Lahore presented on, “Accretion onto some well-known regular black holes.” A talk on “Iterated Function Systems” was delivered by Dr. Maria Samreen from Quaid-i-Azam University, Islamabad. The last speaker of the conference, Dr. Iftikhar Ahmed from NED University of Engineering & Technology, Karachi who delivered paper “Helical flows of a fractionalized second grade fluid through a circular cylinder.” This was followed by a discussion session. Remarks and suggestions were exchanged between mathematicians working in different fields.

At the end of the Conference, Dr. Ismat Beg, Dr. Rana Abdul Wajid, Dr. Asma Khalid and Ms. Zoya Raza thanked the participants for their zeal to learn and impart knowledge by attending and actively participating in the Conference.